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107225790 = 23571373727
BaseRepresentation
bin1100110010000…
…10001010111110
321110202122010120
412121002022332
5204422211130
614350115410
72441255430
oct631021276
9243678116
10107225790
1155587361
122baabb66
13192a3719
1410352650
159630910
hex66422be

107225790 has 64 divisors (see below), whose sum is σ = 296331264. Its totient is φ = 24323328.

The previous prime is 107225779. The next prime is 107225803. The reversal of 107225790 is 97522701.

It is a super-2 number, since 2×1072257902 = 22994740082248200, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26907 + ... + 30633.

It is an arithmetic number, because the mean of its divisors is an integer number (4630176).

Almost surely, 2107225790 is an apocalyptic number.

107225790 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 107225790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148165632).

107225790 is an abundant number, since it is smaller than the sum of its proper divisors (189105474).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

107225790 is a wasteful number, since it uses less digits than its factorization.

107225790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3881.

The product of its (nonzero) digits is 8820, while the sum is 33.

The square root of 107225790 is about 10354.9886528185. The cubic root of 107225790 is about 475.0796394630.

It can be divided in two parts, 1072 and 25790, that added together give a palindrome (26862).

The spelling of 107225790 in words is "one hundred seven million, two hundred twenty-five thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 137 210 274 411 685 822 959 1370 1918 2055 2877 3727 4110 4795 5754 7454 9590 11181 14385 18635 22362 26089 28770 37270 52178 55905 78267 111810 130445 156534 260890 391335 510599 782670 1021198 1531797 2552995 3063594 3574193 5105990 7148386 7658985 10722579 15317970 17870965 21445158 35741930 53612895 107225790